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EJC

2016

3 years 10 months ago
2016

Let C(n) denote the maximum number of induced copies of C5 in graphs on n vertices. For n large enough, we show that C(n) = a · b · c · d · e + C(a) + C(b) + C(c) + C(d) + C(e...

EJC

2016

3 years 10 months ago
2016

EJC

2016

3 years 10 months ago
2016

The maximum drop size of a permutation π of [n] = {1, 2, . . . , n} is deﬁned to be the maximum value of i − π(i). Chung, Claesson, Dukes and Graham found polynomials Pk(x) ...

EJC

2016

3 years 10 months ago
2016

A ﬁnite word is u is said to be bordered if u has a proper preﬁx which is also a suﬃx of u, and unbordered otherwise. Ehrenfeucht and Silberger proved that an inﬁnite word...

EJC

2016

3 years 10 months ago
2016

We continue to explore cyclotomic factors in the descent set polynomial Qn(t), which was introduced by Chebikin, Ehrenborg, Pylyavskyy and Readdy. We obtain large classes of facto...

EJC

2016

3 years 10 months ago
2016

We study “positive” graphs that have a nonnegative homomorphism number into every edge-weighted graph (where the edgeweights may be negative). We conjecture that all positive ...

EJC

2016

3 years 10 months ago
2016

The well known dichotomy conjecture of Feder and Vardi states that for every family Γ of constraints CSP(Γ) is either polynomially solvable or NP-hard. Bulatov and Jeavons reform...

EJC

2016

3 years 10 months ago
2016

Abstract. Building on recent results regarding symmetric probabilistic constructions of countable structures, we provide a method for constructing probability measures, concentrate...

EJC

2016

3 years 10 months ago
2016

We give a survey of some general results on graph limits associated to hereditary classes of graphs. As examples, we consider some classes deﬁned by forbidden subgraphs and some ...

EJC

2016

3 years 10 months ago
2016

For r ≥ 2, an r-uniform hypergraph is called a friendship r-hypergraph if every set R of r vertices has a unique ‘friend’ – that is, there exists a unique vertex x /∈ R ...